查询词典 optimization problem

The discrete 0-1 programming problem is translated into continuous nonlinear optimization problem by polish function, and the nonlinear optimization problem is solved by contraction algorithm.

3利用过滤函数近似处理连续体拓扑优化问题，使用缩并解法实现了对连续体拓扑优化问题的求解。

In this algorithm, at first the reactive power optimization problem is converted to integer nonlinear programming problem with discrete control variables which are solved by IGA; then by use of PDIP algorithm, the continuous variables which can match with the obtained most are solved, and the reactive power optimization is changed into a nonlinear programming problem with continuous control variables.

首先通过改进遗传算法求解无功优化问题中的离散变量，然后采用原对偶内点法求解与已获得离散变量最匹配的连续变量。

The robustness of this model is discussed by using the S-system model. And the influences of cell growth rate on the biosynthesis of tryptophan, stability and dynamic behavior of the trp operon are investigated. A steady-state optimization model is established. It maximizes the accumulative term accounting for both consumption and secretion. The nonlinear optimization problem is approximately transformed to a linear optimization problem.

本文对表达阻遏蛋白的基因和表达合成色氨酸关键酶的基因之间相互作用进行了研究，通过模型考察了比生长速率对色氨酸生物合成和系统稳定性的影响，对色氨酸合成过程所涉及到的mRNA、酶等的动态行为进行了理论预测和分析，通过S-系统方程将非线性系统转化为线性系统，研究了系统的鲁棒性，并对色氨酸生产进行了优化。

The basic idea was to discrete the structure and find the load function according to the energy criterion of buckling and the principle of random displacement method. As the critical load is the minimum of the load function, a problem of frame buckling can be transformed into an optimization problem. Therefore, the critical load can be found through solving the optimization problem.

先将结构离散为一个有限自由度系统；然后根据有限自由度系统平衡稳定性的能量准则和随机位移法的基本原理，建立符合能量准则的载荷函数，该函数不为零的最小值即为临界载荷，由此将稳定问题转化为无约束的多维优化问题；最后应用遗传算法求出相应于最优解的目标函数值。

The quasi-phsical method makes the original problem an optimization problem in mathematics. There is often the possibility of going to a local minimum of object function when solving the optimization problem mathematically.

所谓拟物就是主动地向自然界学习解决问题的方法，即寻找与原始数学问题等价的物理世界并观察这个世界中物质运动的生动形象，然后从中得出启发并逐步形式化为算法以求解问题。

A theorem of the alternative for the generalized subconvexlike set-valued maps is established using the separation theorem of convex sets in a Banach spaces, the concept of weak Benson proper efficient elements for a vector optimization problem is introduced, and the optimality necessary and sufficient Lagrange conditions for a vector set-valued map constrained optimization problem with the weak Benson proper efficiency is developed, with which the optimality Lagrange conditions for a nonconvex vector top-base constrained optimization of set-valued maps with the Benson proper efficiency are obtained.

刘莹 ，刘三阳，盛宝怀运用凸集分离定理对广义锥次类凸集值映射建立了一种择一性定理。引入向量优化弱Benson真有效元的概念，对带约束的非凸向量集值优化问题建立了在弱Benson真有效意义下有效元应满足Lagrange乘子型的必要及充分条件，并用这一结果建立了多目标主从非凸向量集值优化在弱Benson真有效意义下最优解的Lagrange乘子型充要条件。

The modified particle swarm optimization is utilized to solve the proposed reactive power optimization model; and combining with non–stationary multi-stage assignment penalty function, the reactive power optimization problem is transferred into a problem to solve extreme-value without constraints, thus the calculation accuracy and global convergence ability of MPSO are effectively improved, and power grid company can achieve maximal economic benefit by means of the proposed algorithm.

应用改进粒子群优化算法求解该无功优化模型，并结合动态调整罚函数法将无功优化问题转化成无约束求极值问题，从而有效地提高了改进粒子群优化算法的全局收敛能力和计算精度，使电网公司取得了最大经济效益。

A multi-period reactive power optimization method based on two-layer genetic algorithm is presented,which recasts the complex reactive power optimization problem into a parallel processing problem of multi-period static reactive power optimization.

提出了一种基于两层遗传算法的多时段无功优化方法，将复杂的无功优化问题转化为多个时段静态无功优化的并行处理问题。

The theory minutely analyze trait of evolutionary programming arithmetic and state variables breakout problem in solving reactive power optimization problem, link reactive power balance theory.. reactive power bed and subarea control theory and adjusted-voltage material law of actual system. The theory first put forward a effective variability quantity modified measure, escape unfeasible problem in evolutionary programming, also make evolutionary programming arithmetic in solving reactive power optimization problem more quick and effective.

详细分析了进化规划算法的特点和在求解无功优化问题时存在的状态变量越限问题，结合无功平衡原理、无功分层分区控制原理以及实际系统中调压的具体规律，首次提出了一套有效的变异量修正措施，避免了进化规划的不可行问题，也使进化规划算法在求解无功优化问题时更加快速有效。

Firstly, on the basis of defining the characteristics of project and reviewing the mathematical models for RCPSP, we constructed the mathematical model for RCPSP under the condition that there is non-fixed duration and splittable tasks in project; In order to solve above model, we emphatically discussed the basic principle of the swarm intelligence algorithm--the particle swarm optimization algorithm as well as improvement research for current algorithm, and then proposed a new improved particle swarm optimization algorithm and analyzed its application process in the resource-constrained project scheduling problem; Lastly, in order to confirm the validity of the model and the algorithm, we took an experiment based on 108 instances that produced by problem instance generator which was developed by our team.

首先，在对RCPSP项目特征进行界定以及对项目进度优化模型回顾的基础之上，构建了基于活动工期不固定、任务可拆分特征的RCPSP的数学模型；为了求解上述模型，本文详细阐述粒子群优化算法(Particle Swarm Optimization，PSO)的基本原理以及当前对其改进的研究成果，提出了一种新的改进PSO算法，并对其在RCPSP的应用过程进行了设计；最后，为了检验模型的有效性及算法的优越性，基于梯队内部开发的案例生成器生成的108个算例，进行了仿真试验。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。